Pith Number

pith:YFAJ4KZE

pith:2012:YFAJ4KZESPVOZIAOI4W6GONUA5

not attested not anchored not stored refs pending

A generalization of Ohkawa's theorem

Carles Casacuberta, Javier J. Guti\'errez, Jir\'i Rosick\'y

arxiv:1203.6395 v3 · 2012-03-28 · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFAJ4KZESPVOZIAOI4W6GONUA5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:51:06.728437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1409e2b2493eaeca00e472de339b4075ef5048b9f7c6790e755f8452954d967

Aliases

arxiv: 1203.6395 · arxiv_version: 1203.6395v3 · doi: 10.48550/arxiv.1203.6395 · pith_short_12: YFAJ4KZESPVO · pith_short_16: YFAJ4KZESPVOZIAO · pith_short_8: YFAJ4KZE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YFAJ4KZESPVOZIAOI4W6GONUA5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c1409e2b2493eaeca00e472de339b4075ef5048b9f7c6790e755f8452954d967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392c0ef8b7508fe3ec5b5547408696246c3d6d35eac51122e9114e1eb9e028cc",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-28T23:01:36Z",
    "title_canon_sha256": "9212698be6b9b8f13a73981d6bb0899dfb5948bd464942ba38156ec56297eb99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6395",
    "kind": "arxiv",
    "version": 3
  }
}